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Set functors and filters

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Publication:2350316
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DOI10.1007/S10485-014-9367-6zbMath1317.18009OpenAlexW2093347052MaRDI QIDQ2350316

Věra Trnková, Václav Koubek

Publication date: 19 June 2015

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-014-9367-6


zbMATH Keywords

Stirling numbersmeasurable cardinalfiltersingular cardinal hypothesiscardinal functionhom-functorsmall functorcardinal equationcardinal set functor functioncategory of sets and mapsunattainable cardinal of a set functor


Mathematics Subject Classification ID

Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Other set-theoretic hypotheses and axioms (03E65) Ordinal and cardinal numbers (03E10) Categories of sets, characterizations (18B05)





Cites Work

  • Adequate subcategories
  • Weakly terminal objects in quasicategories of \(\mathcal{SET}\) endofunctors
  • Endofunctors of set determined by their object map
  • Functors on the Category of Finite Sets
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